Answer:
3x-5> 6x- 14
Step-by-step explanation:
Let the blue ribbons be denoted by the letter x.
Then according to the given condition
3 times the blue ribbons = 3x
Decreased by 5 = 3x-5
is greater than
6 times the blue ribbons = 6x
decreased by 14 = 6x-14
Putting in one line
3x-5> 6x- 14
Solving the inequality
3x-5> 6x- 14
Taking both sides positive as in modulus
14-5 > 6x-3x
9> 3x
9/3 > x
3> x
Again solving for inequality
3x-5> 6x- 14
Taking one side negative that is mod
3x-5> -6x + 14
3x+ 6x > 14+5
9x> 19
x > 19/9
x > 2.11
so x lies between 2 and 3
3 > x > 2.11
Now putting the values for x= 19
3x-5> 6x- 14
57-5> 114-14
52 > 100 False
Now putting the values for x= 3
3x-5> 6x- 14
9-5> 18-14
4>4 False
Now putting the values for x= 2
3x-5> 6x- 14
6-5> 12-14
1> -2 True
There are 2 blue ribbons
Formula: d = √(x2-x1)²+(y2-y1)²
d = √(11-3)²+(11-5)²
d = √8²+6²
d = √64+36
d = √100
d = 10
Best of Luck!
Answer:
Step-by-step explanation:
we can see that the line goes thru the point (-1,2) and (4,-2) now to find slope we just find change in y over change in x
more visually:
(y1-y2)/(x1-x2)
so for the point (-1,2) let’s say
-1 = x1
and
2 = y1
and for the point (4,-2) let’s say
4 = x2
and
-2 = y2
to find slope we plug in the values to our slope equation and we get this:
(2-(-2))/( -1-4)
(2+2)/-5
4/-5
so slope is -4/5
because to get from (-1,2) to (-4,-2) you have to move down 4 and to the right 5
Answer:
V = 
cubic units
Step-by-step explanation:
Given the information
- A right triangular prism has the height is equal to the leg length of the base.
- The right triangles have 2 sides with a length of x
=> the height = x
As we know, the formula used to determine the volume of a right triangular prism is:
V = The base area * the height
In this situation, we have
V = 
<=> V = cubic units
Hope it will find you well
Answer:
the second 1
Step-by-step explanation:
I hope this helped
